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Finding the Third Proportional to 661,452 and 1,449,018

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Solution

The third proportional to 661,452 and 1,449,018 is: 3,174,309.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,452 : 1,449,018 = 1,449,018 : x
  2. Step 2: Convert to fraction form
    661,452/1,449,018 = 1,449,018/x
  3. Step 3: Cross multiply
    661,452x = 1,449,018 × 1,449,018
  4. Step 4: Simplify right side
    661,452x = 2,099,653,164,324
  5. Step 5: Solve for x
    x = 2,099,653,164,324/661,452
  6. Step 6: Final answer
    x = 3,174,309.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.